Many problems of dynamical systems can be reduced to an iterative functional equation.

动力系统的许多问题都可以化为迭代函数方程。

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This paper is concerned with an analytic invariant curves on a planar mapping of the iterative functional equation.

研究了复合迭代函数方程所代表的一类不变曲线的解析解，通过构造辅助方程的幂级数解，从而获得原方程的解析解。

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Many mathematical models in physics, mechanics, biology and astronomy are given in such forms. Many problems of dynamical systems can be reduced to an iterative functional equation.

许多物理学、力学、生物学以及天文学问题的数学模型都是由连续的或离散的迭代过程描述的。

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